Optimal binary strategy for angular displacement estimation based upon fidelity appraisal

TL;DR

This paper introduces an optimal binary measurement strategy for angular displacement estimation using a modified Mach-Zehnder interferometer with orbital angular momentum, demonstrating enhanced resolution and precision through fidelity analysis and experimental validation.

Contribution

The work presents a new optimal binary strategy based on fidelity appraisal for angular displacement estimation, including experimental demonstration and analysis of realistic effects.

Findings

Achieved a super-resolving signal with a factor of 1.86 enhancement.

Demonstrated precise angular displacement estimation with over 500 trials.

Validated the strategy through a proof of principle experiment.

Abstract

We report on an optimal binary strategy for angular displacement estimation. The measuring system is a modified Mach-Zehnder interferometer fed by a coherent state carrying orbital angular momentum, and two Dove prisms are embedded in two paths. In terms of the fidelity appraisal, parity detection and Z detection are discussed, and the optimal estimation strategy is presented. We additionally study the effects of several realistic scenarios on the fidelity, including transmission loss, detection efficiency, dark counts, and those which are a combination thereof. Finally, we exhibit a proof of principle experiment and perform Bayesian estimation on data processing. The experimental results imply resolved enhancement by a factor of 1.86 suggesting super-resolving signal. Meanwhile, on the trial greater than 500, we show that the angular displacement can be precisely estimated via acquired outcome information.